Given numbers are 566,756,315,612

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 566,756,315,612 is 18185580.

Find LCM of 566,756,315,612 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 3 x 3 x 7 x 283 x 3 x 5 x 17 = 18185580

Therefore, the lowest common multiple of 566,756,315,612 is 18185580.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

566 x 756 x 315 x 612 = 82489790880

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

566 : 1, 2, 283, 566

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 566,756,315,612, is 1.

Now, the common factors can be found like this.

566:2x 283

756:2x 2x 3x 3x 3x 7

315:3x 3x 5x 7

612:2x 2x 3x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3x 3x 3x 3x 7 = 4536

Therefore, the value for common factors is 4536.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 82489790880/(1x4536)

LCM = 82489790880/4536

LCM = 18185580

Thus, we can understand that the LCM of 566,756,315,612 is 18185580.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 783, 773, 463, 265
• LCM of 741, 765, 714, 435
• LCM of 701, 701, 289, 977
• LCM of 128, 591, 586, 581
• LCM of 371, 373, 723, 291

1. What is the LCM of 566, 756, 315, 612?

Answer: LCM of 566, 756, 315, 612 is 18185580.

2. How to calculate the LCM of 566, 756, 315, 612?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 566, 756, 315, 612.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.